`If sintheta=3/4`, then prove that `sqrt((cosec^2 theta-cot^2 theta)/(sec ^2 theta-1))=sqrt7/3`

If sin theta=(3)/(4), then prove that sqrt((cos ec^(2)theta-cot^(2)theta)/(sec^(2)theta-1))=(sqrt(7))/(3)

If sin theta=(3)/(4), prove that sqrt((cos ec^(2)theta-cot^(2)theta)/(sec^(2)theta-1))=(sqrt(7))/(3)

If cot theta=(3)/(4), prove that sqrt((sec theta-cos ec theta)/(sec theta+cos ec theta))=(1)/(sqrt(7))

Prove that;- ((tan^2theta)/(sec^2theta))+((cot^2theta)/(cosec^2theta))=1

Prove that cot^4 theta+ cot^2 theta= cosec^4 theta-cosec^2 theta

prove that: tan^(2) theta-cot^(2) theta=sec^(2) theta- cosec^(2) theta

Prove that (1+cot theta-cosec theta)(1+tan theta+sec theta)=2

Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

If csc theta=x+(1)/(4x) prove that csc theta+cot theta=2x or (1)/(2x)

If cot theta =(3)/(4), show that sqrt((sectheta- "cosec"theta)/(sectheta+"cosec"theta))=(1)/(sqrt(7)).